The generator matrix

 1  1  1  1  1  1  1  1  2  1  1  2  2  1  4  0  2  2  4  1  2
 0  4  0  4  0  4  0  4  4  0  4  0  4  0  4  4  0  4  0  4  0

generates a code of length 21 over Z8 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+12x^22+3x^24

The gray image is a code over GF(2) with n=84, k=4 and d=44.
This code was found by Heurico 1.16 in 0.00183 seconds.